4x-(3x)=7(x-3)+10

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Solution for 4x-(3x)=7(x-3)+10 equation:


Simplifying
4x + -1(3x) = 7(x + -3) + 10

Remove parenthesis around (3x)
4x + -1 * 3x = 7(x + -3) + 10

Multiply -1 * 3
4x + -3x = 7(x + -3) + 10

Combine like terms: 4x + -3x = 1x
1x = 7(x + -3) + 10

Reorder the terms:
1x = 7(-3 + x) + 10
1x = (-3 * 7 + x * 7) + 10
1x = (-21 + 7x) + 10

Reorder the terms:
1x = -21 + 10 + 7x

Combine like terms: -21 + 10 = -11
1x = -11 + 7x

Solving
1x = -11 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
1x + -7x = -11 + 7x + -7x

Combine like terms: 1x + -7x = -6x
-6x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6x = -11 + 0
-6x = -11

Divide each side by '-6'.
x = 1.833333333

Simplifying
x = 1.833333333

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